By unplugging the AMM you're trying to find fault with the ECU and others (as AMM already out of the picture).

I could start my car with AMM unplugged, so the limp home mode is there. No I don't do hot unplugging. Unplug first then try to start.

To find fault with current AMM you must swap it with another known working AMM. And from past board experiences the type of AMM likely to fail is the one with hot air hose still connected from exhaust shield. Not just any AMM.

I suggest looking at your ignition parts first. They deliver thousands of volt every miliseconds. Big burden there. They might look well outside but there could be some internal break inside. When they fail some fail completely, some intermittently, some prematurely too. At least do continuity test with mulltimeter.

Amarin.